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Finding the Fourth Proportional to 231.24, 319.24 and 144.06

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Solution

The fourth proportional to 231.24, 319.24 and 144.06 is: 198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.24 : 319.24 = 144.06 : x
  2. Step 2: Convert to fraction form
    231.24/319.24 = 144.06/x
  3. Step 3: Cross multiply
    231.24x = 319.24 × 144.06
  4. Step 4: Simplify right side
    231.24x = 45,989.71
  5. Step 5: Solve for x
    x = 45,989.71/231.24
  6. Step 6: Final answer
    x = 198.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.